Not Everything Is Proportional: Effects of Age and Problem Type on Propensities for Overgeneralization
- W. Van Dooren, Dirk De Bock, An Hessels, D. Janssens, L. Verschaffel
- Education
- 1 March 2005
Previous research (e.g., De Bock, 2002) has shown that-due to the extensive attention paid to proportional reasoning in elementary and secondary mathematics education-many students tend to overrely…
Just Answering … or Thinking? Contrasting Pupils' Solutions and Classifications of Missing-Value Word Problems
- W. Van Dooren, Dirk De Bock, K. Vleugels, L. Verschaffel
- Psychology
- 19 January 2010
Upper primary school children often routinely apply proportional methods to missing-value problems, even when it is inappropriate. We tested whether this tendency could be weakened if children were…
Word problems in mathematics education: a survey
- L. Verschaffel, S. Schukajlow, J. Star, W. Van Dooren
- Education
- 1 April 2020
Word problems are among the most difficult kinds of problems that mathematics learners encounter. Perhaps as a result, they have been the object of a tremendous amount research over the past 50…
Pre-service Teachers' Preferred Strategies for Solving Arithmetic and Algebra Word Problems
- W. Van Dooren, L. Verschaffel, P. Onghena
- Education
- 2003
In this study we investigate the arithmetic andalgebra word problem-solving skills andstrategies of future primary and secondaryschool teachers in Flanders (Belgium).Moreover, we describe the…
The Illusion of Linearity: Expanding the evidence towards probabilistic reasoning
- W. Van Dooren, Dirk De Bock, F. Depaepe, D. Janssens, L. Verschaffel
- Education
- 2003
Previous research has shown that – due to the extensive attention spent to proportional reasoning in mathematics education – many students have a strong tendency to apply linear or proportional…
Attitudes Toward Statistics and Their Relationship with Short- and Long-Term Exam Results
- S. Vanhoof, Ana Elisa Castro Sotos, P. Onghena, L. Verschaffel, W. Van Dooren, W. Van den Noortgate
- Business, Education
- 1 January 2006
This study uses the Attitudes Toward Statistics (ATS) scale (Wise 1985) to investigate the attitudes toward statistics and the relationship of those attitudes with short- and long-term statistics…
Improper use of linear reasoning: An in-depth study of the nature and the irresistibility of secondary school students' errors
- Dirk De Bock, W. Van Dooren, D. Janssens, L. Verschaffel
- Education
- 2002
Several recent ascertaining studies revealed a deep-rooted and almost irresistible tendency among 12–16-year old students to improperly apply the linear or proportional model in word problems…
Are secondary school students still hampered by the natural number bias? A reaction time study on fraction comparison tasks
- Joris J. van Hoof, Tristan Lijnen, L. Verschaffel, W. Van Dooren
- Psychology
- 14 June 2013
Rational numbers and particularly fractions are difficult for students. It is often claimed that the ‘natural number bias’ underlies erroneous reasoning about rational numbers. This cross-sectional…
The Impact of Illustrations and Warnings on Solving Mathematical Word Problems Realistically
- Tinne Dewolf, W. Van Dooren, Emre Ev Cimen, L. Verschaffel
- Psychology
- 1 January 2014
The present research investigated whether an illustration and/or a warning could help students to (a) build a situational model of the problem situation and (b) solve problematic word problems…
Inhibiting natural knowledge in fourth graders: towards a comprehensive test instrument
- Joris J. van Hoof, R. Janssen, L. Verschaffel, W. Van Dooren
- Education
- 2015
While understanding rational numbers forms an essential part of mathematical literacy, research has repeatedly shown that they form a stumbling block in education. A big source of difficulty is the…
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